Pith Number

pith:T7JTWT7H

pith:2022:T7JTWT7HCFFYMGXWVXPTHJSCUQ

not attested not anchored not stored refs pending

Proof of Renyi QNEC for free fermions

Pratik Roy

arxiv:2212.02331 v3 · 2022-12-05 · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T7JTWT7HCFFYMGXWVXPTHJSCUQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

2 papers in Pith

No off-diagonal quantum focusing for R\'enyi divergences

A general proof of integer R\'enyi QNEC

Receipt and verification

First computed	2026-07-05T07:00:57.878467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd33b4fe7114b861af6addf33a642a40550957afe34d9a3290f047abb3b64aa

Aliases

arxiv: 2212.02331 · arxiv_version: 2212.02331v3 · doi: 10.48550/arxiv.2212.02331 · pith_short_12: T7JTWT7HCFFY · pith_short_16: T7JTWT7HCFFYMGXW · pith_short_8: T7JTWT7H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/T7JTWT7HCFFYMGXWVXPTHJSCUQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 9fd33b4fe7114b861af6addf33a642a40550957afe34d9a3290f047abb3b64aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e2f265741d4f7aecd32c5548ed6e458d0cd73eed92e4d384823d7e97f3e425",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-12-05T15:03:30Z",
    "title_canon_sha256": "43dfe15b5534e13ca32b16c2fdc2c13a3f106e68c7d19a8389afa5f950fde892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2212.02331",
    "kind": "arxiv",
    "version": 3
  }
}